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Journal Articles Nonlinear Analysis: Theory, Methods and Applications Year : 2011

Spectrum of some integro-differential operators and stability of travelling waves

Abstract

Spectral properties of some integro-differential operators on R1 are studied. Characterization of the principal eigenvalue is obtained in terms of the positive eigenfunction. These results are used to prove local and global stability of travelling waves and to find their speed.

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Analysis of PDEs [math.AP]
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https://hal.science/hal-00653653

Submitted on : Tuesday, December 20, 2011-11:03:40 AM

Last modification on : Saturday, April 27, 2024-3:12:59 AM

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hal-00653653 , version 1 (20-12-2011)

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Arnaud Ducrot, Martine Marion, Vitaly Volpert. Spectrum of some integro-differential operators and stability of travelling waves. Nonlinear Analysis: Theory, Methods and Applications, 2011, 74 (13), pp.4455-4473. ⟨10.1016/j.na.2011.04.009⟩. ⟨hal-00653653⟩

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